Question

Solve the equation.sin 2x = 1/2

Answer 1

To Solve the equation sin 2x = 1/2

$sin2x = \frac{1}{2}$

as we know that sin 30° = 1/2

$sin \: 2x = sin \: 30 \\ \\ taking \: {sin}^{ - 1} both \: the \: side$
$2x = 30 \\ \\ x = \frac{30}{2} \\ \\ x = 15$
Thus the solution of the equation is x = 15